Differentiation (trig, exponentials and logs) Flashcards

1
Q

derivative of sinx

A

cos x

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2
Q

derivative of cosx

A

-sinx

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3
Q

derivative of tanx

A

sec^2x

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4
Q

derivative of sin(ax+b)

A

acos(ax+b)

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5
Q

derivative of cos(ax+b)

A

-asin(ax+b)

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6
Q

derivative of tan(ax+b)

A

asec^2(ax+b)

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7
Q

derivative of logex

A

1/x

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8
Q

derivative of logef(x)

A

f’(x)/f(x)

derivative over original

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9
Q

derivative of (a^x)

A

(lna)a^x

ln of the function times by original function

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10
Q

derivative of (a^f(x))

A

(lna)f’(x)a^f(x)

ln of function times by derivative of function times by original function

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11
Q

derivative of logax

A

1/xlna

1 over x times ln of base a

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12
Q

derivative of logaf(x)

A

f’(x)/(lna) f(x)

derivative of f(x) over ln of base a times by original f(x)

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13
Q

derivative of e^f(x)

A

f’(x)e^f(x)

derivation of f(x) times by the original function

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